Curriculum / Math / 5th Grade / Unit 4: Addition and Subtraction of Fractions/Decimals / Lesson 15

Addition and Subtraction of Fractions/Decimals

Lesson 15

Math

Unit 4

5th Grade

Lesson 15 of 17

Objective

Subtract decimals where the total is less than or equal to 2.

Common Core Standards

Core Standards

The core standards covered in this lesson

5.NBT.B.7 — Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Number and Operations in Base Ten

5.NBT.B.7 — Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Foundational Standards

The foundational standards covered in this lesson

5.NBT.A.1

Number and Operations in Base Ten

5.NBT.A.1 — Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
4.NF.C.5

Number and Operations—Fractions

4.NF.C.5 — Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Criteria for Success

The essential concepts students need to demonstrate or understand to achieve the lesson objective

Understand that in order to subtract quantities, they must have the same unit (which in the case of decimals, are their place values).
Subtract like units with decimals using an area model (MP.5, MP.6).
Solve one-step word problems involving the subtraction of two decimals (MP.4).

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Anchor Tasks

Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding

25-30 minutes

Problem 1

a. Solve. Draw a picture to illustrate your thinking.

3 eighths – 1 fourth = ___________
3 tenths – 1 hundredth = ___________

b. What do you notice about Part (a) above? What do you wonder?

c. Write a fraction subtraction equation to represent Part (a-ii).

d. Write a decimal subtraction equation to represent Part (a-ii).

Guiding Questions

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Student Response

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Problem 2

Find the following differences. Show or explain your work.

a. 0.8 − 0.2

b. 0.94 − 0.6

c. 0.71 − 0.53

d. 2 − 0.34

Guiding Questions

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Student Response

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Problem 3

Use the digits 1 to 9, at most one time each, to fill in the boxes to get the difference that is as close to 1 as possible. Try to find more than one possible answer.

1.☐ − 0.☐☐

Guiding Questions

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Student Response

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References

Open Middle Subtracting Decimals to Make Them as Close to 1 as Possible

Subtracting Decimals to Make Them as Close to 1 as Possible by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed June 17, 2024, 10:57 a.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

Discussion of Problem Set

Look at #3. Was Michael correct? What error did he make?
In #4a, I don’t think I can take away 32 hundredths from 9 tenths since there are no hundredths in 9 tenths. Do you agree or disagree?

Target Task

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

5-10 minutes

Solve.

a. 0.92 − 0.47 = __________

b. 1.32 − 0.8 = __________

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Subtract decimals where the total is greater than 2.

Lesson 16

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Addition and Subtraction of Fractions/Decimals

Objective

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Common Core Standards

Core Standards

Number and Operations in Base Ten

Foundational Standards

Number and Operations in Base Ten

Number and Operations—Fractions

Criteria for Success

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Anchor Tasks

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Problem 1

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Guiding Questions

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Problem 2

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Guiding Questions

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Problem 3

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Guiding Questions

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References

Problem Set

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Discussion of Problem Set

Target Task

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Additional Practice

Extra Practice Problems

Word Problems and Fluency Activities

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